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Popular >

simplify (e^{-x})/(e^{-4x)}

Solution

simplify

\frac{e ^{- x}}{e ^{- 4 x}}

Solution

e^{3 x}

Solution steps

\frac{e ^{- x}}{e ^{- 4 x}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= e^{- x - (- 4 x)}

Apply rule

- (- a) = a

= e^{- x + 4 x}

Add similar elements:

- x + 4 x = 3 x

= e^{3 x}

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Frequently Asked Questions (FAQ)

What is (e^{-x})/(e^{-4x)} ?
The solution to (e^{-x})/(e^{-4x)} is e^{3x}